Predictive electroweak gauge model with strong spontaneous-symmetry-breaking dynamics
J. Hošek*, P. Beneš and A. Smetana
*: corresponding author
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Pre-published on: January 01, 2021
Published on: April 15, 2021
Abstract
Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor SU(3)f symmetry with scale Λ. For all SM chiral fermions in triplets
the anomaly freedom demands addition of a triplet of νR. Approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies Σf(p2) has spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) Σf(p2)=M2fR/p where three Majorana masses MfR of νfR are of order Λ. (2) Σf(p2)=m2f/p where three Dirac masses mf=m(0)1+m(3)λ3+m(8)λ8 of SM fermions are {\it exponentially suppressed w.r.t. Λ}, and degenerate for all SM fermions in f. MfR break SU(3)f completely, and m(3),m(8) superimpose its tiny breaking to U(1)×U(1). All flavor gluons thus acquire self-consistently the masses Λ. mf break SU(2)L×U(1)Y to U(1)em. Symmetry partners of the composite `would-be' Nambu-Goldstone bosons are the genuine Higgs particles: (1) Three νR-composed Higgses χi with masses Λ. (2) Two new SM-fermion-composed Higgses h3,h8 with masses m(3),m(8), respectively. (3) The SM-like SM-fermion-composed Higgs h with mass m(0), the effective Fermi scale. Electroweak loops with Σf(p2)-dependent vertices enforced by the symmetry of the Lagrangian generate the W and Z masses at Fermi scale, and provide the fermion mass splitting in f. At the present exploratory stage the splitting is unrealistic.
DOI: https://doi.org/10.22323/1.390.0666
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